Z. Z. Alisultanov, R. P. Meylanov, “Some features of quantum statistical systems with an energy spectrum of the fractional-power type”, TMF, 2012, Volume 171, Number 3,Pages <nobr>404

This article is cited in 10 papers

Some features of quantum statistical systems with an energy spectrum of the fractional-power type

Z. Z. Alisultanov^a, R. P. Meylanov^b

^a Prokhorov General Physics Institute, RAS, Moscow, Russia
^b Daghestan State University, Makhachkala, Daghestan, Russia

Abstract: We derive and investigate the equation of state for a system with a fractional-power spectrum and also derive an expression for the density of states in such systems. We consider a fractional-differential model of electron–phonon interaction.

Keywords: fractional-order derivative, equation of state, nonlocality.

Received: 05.08.2011
Revised: 08.09.2011

DOI: 10.4213/tmf6935